53871338304 has 448 divisors, whose sum is σ = 184752691200. Its totient is φ = 15076233216.

The previous prime is 53871338299. The next prime is 53871338309. The reversal of 53871338304 is 40383317835.

53871338304 is a `hidden beast` number, since 5 + 3 + 8 + 7 + 1 + 338 + 304 = 666.

It is an interprime number because it is at equal distance from previous prime (53871338299) and next prime (53871338309).

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 53871338304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53871338309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175476519 + ... + 175476825.

It is an arithmetic number, because the mean of its divisors is an integer number (412394400).

Almost surely, 2^53871338304 is an apocalyptic number.

53871338304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53871338304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92376345600).

53871338304 is an abundant number, since it is smaller than the sum of its proper divisors (130881352896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53871338304 is a wasteful number, since it uses less digits than its factorization.

53871338304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 53871338304 in words is "fifty-three billion, eight hundred seventy-one million, three hundred thirty-eight thousand, three hundred four".